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Finding the Fourth Proportional to 7,580.86, 11,373.59 and 3,885.71

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Solution

The fourth proportional to 7,580.86, 11,373.59 and 3,885.71 is: 5,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.86 : 11,373.59 = 3,885.71 : x
  2. Step 2: Convert to fraction form
    7,580.86/11,373.59 = 3,885.71/x
  3. Step 3: Cross multiply
    7,580.86x = 11,373.59 × 3,885.71
  4. Step 4: Simplify right side
    7,580.86x = 44,194,417.43
  5. Step 5: Solve for x
    x = 44,194,417.43/7,580.86
  6. Step 6: Final answer
    x = 5,829.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.